Mathematics Homework Solutions

Discriminant and graphs

PART ONE: ATTACHED PART TWO: what type of graph is: x^2 + 3y^2 - 4x + 6y = -1 A) parabola B) circle C) ellipse D) hyperbola PART THREE: Find the value of the discriminant of the equation. Describe the roots completely. Do not solve. 3x^2 + 4x - 5 = 0 A) 31; 2 real, irrational root ...continues

Find the midpoint and length of a line segment.

Find the midpoint and length of the line segment PQ where P=(2,-7) and Q=(5,1). We will also use vectors to find the length of the segment.

Simplify and Divide

PART ONE: Simplify the following: (-3w^2 n)(2n^2)^4 A) -6w^2 n^7 B) -48w^2 n^7 C) -48w^2 n^9 D) 48w^2 n^7 PART TWO: Perform the following divisions: (32x^6 y^4 - 24x^2 y^9 + 4x^2 y) / (4x^2 y) A) 8x^4 y^3 - 6y^8 + 1 B) 8x^3 y^4 - 6y^8 + 1 C) 8x^3 y^2 - 6xy^7 + 1 D) 8x^4 y^3 - 6x ...continues

Letter Equation

Please explain: ABCDE X 4 = EDCBA

Trigonometric Equation and Expression Simplification

Please see the attached file for the fully formatted problems. Find all real solutions for X and simplify.

Square area: What are the sides?

If the square area of an equal sided square is 144 ft sq. What are the sides?

Area of square

If the square area of an equal sided square is 144 ft sq. What are the sides?

picking a correct method

How would I determine which method to use for simplifying a particular complex rational expression?

Factoring of Cubes

How could I explain how the rules for factoring a sum of cubes can be used to factor a difference of cubes?

Inequality Proof

Prove that (1+x)^n>=1+nx, where n>=1, x>=0

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